Baryon self-energy due to the pion-quark interaction

Journal Article · Sun Dec 01 04:00:00 EST 1985 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.32.3001· OSTI ID:5008148

Horacsek, K G; Iwamura, Y; Nogami, Y

We examine the baryon self-energy due to the pion-quark interaction, more specifically, how the self-energy varies among the ground states of the baryon octet and decuplet, and also from the ground to excited states. A nonrelativistic constituent quark model is used in which quarks are bound in a harmonic-oscillator potential. For the excited states we examine the lowest even- and odd-parity states in the nucleon sector. We find that the variation of the self-energy within the same strangeness sector is quite small, i.e., of the order of 30 MeV or smaller. For example, the pion contribution to the ..delta..-N splitting is < or approx. =20 MeV. In arriving at this small variation it is crucial to take account of the spin dependence of the quark energy that enters in the energy denominator of the self-energy calculation. The individual energy shift is sensitive to the (ad hoc) form factor associated with the pion-quark interaction, and also to the quark excitation in the intermediate state. However, this sensitivity is strongly reduced in the difference between energy shifts for different baryon states.

• Research Organization: Department of Physics, McMaster University, Hamilton, Ontario, Canada L8S 4M1
• OSTI ID: 5008148
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 32:11; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645206* -- High Energy Physics-- Particle Interactions &amp; Properties-Theoretical-- Strong Interactions
Baryon No. = 1-- (-1987)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
BARYONS
BASIC INTERACTIONS
BOSONS
COMPOSITE MODELS
ELEMENTARY PARTICLES
ENERGY
FERMIONS
HADRONS
HARMONIC OSCILLATOR MODELS
INTERACTIONS
MASS
MATHEMATICAL MODELS
MESONS
PARTICLE INTERACTIONS
PARTICLE MODELS
PARTICLE PROPERTIES
PIONS
PSEUDOSCALAR MESONS
QUARK MODEL
QUARK-HADRON INTERACTIONS
SELF-ENERGY
SPIN
STRONG INTERACTIONS